Create an equation with one solution of x = −5.
9x − (x − 3) = 2x − (__ + x)
7.4 #7

9x-(x-3) = 2x - (-5 + x)

Step-by-step explanation:

Let's say blank is the variable a.

9x-(x-3) = 2x - (a + x)

Simplify the equation:

9x-(x-3) = 2x - ( a + x)

9x - x + 3 = 2x - a - x

8x + 3 = x - a

7x + 3 = -a

a = -7x - 3

Plug in -5 for x:

a = -7*-5 - 3 = 35 - 3 = 32

a = 32 so the equation with one solution of x = -5 would

9x-(x-3) = 2x - (-5 + x)

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)